随机倾斜下波动性期权定价及其在波动率指数中的应用

IF 2.2 3区 经济学 Q2 BUSINESS, FINANCE
J. Romo
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引用次数: 6

摘要

近年来,波动性期权显著增长。特别是VIX期权是芝加哥期权交易所交易最活跃的合约之一。这些期权表现出向上倾斜的波动性偏斜,偏斜的形状在很大程度上与波动性水平无关。考虑到这些程式化的事实,本文引入了一个新的具有均值回归的双因素随机波动率模型,该模型解释了与经验证据一致的随机偏斜。重要的是,该模型在分析上易于处理。从这个意义上说,我解决了标准启动对应的定价问题,以及通过快速傅立叶变换向前启动欧洲选项。为了说明模型的实际性能,我将模型参数校准为波动率指数上欧洲期权的报价。校准结果相当好,表明该模型有能力捕捉与波动率指数期权相关的隐含波动率偏斜的形状。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Pricing Volatility Options Under Stochastic Skew with Application to the VIX Index
In recent years, there has been a remarkable growth of volatility options. In particular, VIX options are among the most actively trading contracts at Chicago Board Options Exchange. These options exhibit upward sloping volatility skew and the shape of the skew is largely independent of the volatility level. To take into account these stylized facts, this article introduces a novel two-factor stochastic volatility model with mean reversion that accounts for stochastic skew consistent with empirical evidence. Importantly, the model is analytically tractable. In this sense, I solve the pricing problem corresponding to standard-start, as well as to forward-start European options through the Fast Fourier Transform. To illustrate the practical performance of the model, I calibrate the model parameters to the quoted prices of European options on the VIX index. The calibration results are fairly good indicating the ability of the model to capture the shape of the implied volatility skew associated with VIX options.
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来源期刊
European Journal of Finance
European Journal of Finance BUSINESS, FINANCE-
CiteScore
5.40
自引率
8.00%
发文量
72
期刊介绍: The European Journal of Finance publishes a full range of research into theoretical and empirical topics in finance. The emphasis is on issues that reflect European interests and concerns. The journal aims to publish work that is motivated by significant issues in the theory or practice of finance. The journal promotes communication between finance academics and practitioners by providing a vehicle for the publication of research into European issues, stimulating research in finance within Europe, encouraging the international exchange of ideas, theories and the practical application of methodologies and playing a positive role in the development of the infrastructure for finance research.
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